Finding the Third Proportional to 83,686.50 and 117,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,686.50 : 117,049.50 = 117,049.50 : x
2. Step 2: Convert to fraction form
   83,686.50/117,049.50 = 117,049.50/x
3. Step 3: Cross multiply
   83,686.50x = 117,049.50 × 117,049.50
4. Step 4: Simplify right side
   83,686.50x = 13,700,585,450.25
5. Step 5: Solve for x
   x = 13,700,585,450.25/83,686.50
6. Step 6: Final answer
   x = 163,713.21